{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[Table of Contents](./table_of_contents.ipynb)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Nonlinear Filtering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "\n",
       "        <style>\n",
       "        .output_wrapper, .output {\n",
       "            height:auto !important;\n",
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       "        .output_scroll {\n",
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     },
     "execution_count": 2,
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   ],
   "source": [
    "#format the book\n",
    "import book_format\n",
    "book_format.set_style()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introduction\n",
    "\n",
    "The Kalman filter that we have developed uses linear equations, and so the filter can only handle linear problems. But the world is nonlinear, and so the classic filter that we have been studying to this point can have very limited utility. \n",
    "\n",
    "There can be nonlinearity in the process model. Suppose we want to track an object falling through the atmosphere. The acceleration of the object depends on the drag it encounters. Drag depends on air density, and the air density decreases with altitude. In one dimension this can be modelled with the nonlinear differential equation\n",
    "\n",
    "$$\\ddot x = \\frac{0.0034ge^{-x/22000}\\dot x^2}{2\\beta} - g$$\n",
    "\n",
    "A second source of nonlinearity comes from the measurements. For example, radars measure the slant range to an object, and we are typically interested in the aircraft's position over the ground. We invoke Pythagoras and get the nonlinear equation:\n",
    "\n",
    "$$x=\\sqrt{\\mathtt{slant}^2 - \\mathtt{altitude}^2}$$\n",
    "\n",
    "These facts were not lost on the early adopters of the Kalman filter. Soon after Dr. Kalman published his paper people began working on how to extend the Kalman filter for nonlinear problems. \n",
    "\n",
    "It is almost true to state that the only equation anyone knows how to solve is $\\mathbf{Ax}=\\mathbf{b}$. We only really know how to do linear algebra. I can give you any linear set of equations and you can either solve it or prove that it has no solution. \n",
    "\n",
    "Anyone with formal education in math or physics has spent years learning various analytic ways to solve integrals, differential equations and so on. Yet even trivial physical systems produce equations that cannot be solved analytically. I can take an equation that you are able to integrate, insert a $\\log$ term, and render it insolvable. This leads to jokes about physicists stating \"assume a spherical cow on a frictionless surface in a vacuum...\". Without making extreme simplifications most physical problems do not have analytic solutions.\n",
    "\n",
    "How do we do things like model airflow over an aircraft in a computer, or predict weather, or track missiles with a Kalman filter?  We retreat to what we know: $\\mathbf{Ax}=\\mathbf{b}$. We find some way to linearize the problem, turning it into a set of linear equations, and then use linear algebra software packages to compute an approximate solution. \n",
    "\n",
    "Linearizing a nonlinear problem gives us inexact answers, and in a recursive algorithm like a Kalman filter or weather tracking system these small errors can sometimes reinforce each other at each step, quickly causing the algorithm to spit out nonsense. \n",
    "\n",
    "What we are about to embark upon is a difficult problem. There is not one obvious, correct, mathematically optimal solution anymore. We will be using approximations, we will be introducing errors into our computations, and we will forever be battling filters that *diverge*, that is, filters whose numerical errors overwhelm the solution. \n",
    "\n",
    "In the remainder of this short chapter I will illustrate the specific problems the nonlinear Kalman filter faces. You can only design a filter after understanding the particular problems the nonlinearity in your problem causes. Subsequent chapters will then teach you how to design and implement different kinds of nonlinear filters."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Problem with Nonlinearity\n",
    "\n",
    "The mathematics of the Kalman filter is beautiful in part due to the Gaussian equation being so special. It is nonlinear, but when we add and multiply them we get another Gaussian as a result. That is very rare. $\\sin{x}*\\sin{y}$ does not yield a $\\sin$ as an output.\n",
    "\n",
    "What I mean by linearity may be obvious, but there are some subtleties. The mathematical requirements are twofold:\n",
    "\n",
    "* additivity: $f(x+y) = f(x) + f(y)$\n",
    "* homogeneity: $f(ax) = af(x)$\n",
    "\n",
    "\n",
    "This leads us to say that a linear system is defined as a system whose output is linearly proportional to the sum of all its inputs. A consequence of this is that to be linear if the input is zero then the output must also be zero. Consider an audio amp - if I sing into a microphone, and you start talking, the output should be the sum of our voices (input) scaled by the amplifier gain. But if the amplifier outputs a nonzero signal such as a hum for a zero input the additive relationship no longer holds. This is because linearity requires that $amp(voice) = amp(voice + 0)$. This clearly should give the same output, but if amp(0) is nonzero, then\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "amp(voice) &= amp(voice + 0) \\\\\n",
    "&= amp(voice) + amp(0) \\\\\n",
    "&= amp(voice) + non\\_zero\\_value\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "which is clearly nonsense. Hence, an apparently linear equation such as\n",
    "\n",
    "$$L(f(t)) = f(t) + 1$$\n",
    "\n",
    "is not linear because $L(0) = 1$. Be careful!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## An Intuitive Look at the Problem\n",
    "\n",
    "I particularly like the following way of looking at the problem, which I am borrowing from Dan Simon's *Optimal State Estimation* [[1]](#[1]). Consider a tracking problem where we get the range and bearing to a target, and we want to track its position. The reported distance is 50 km, and the reported angle is 90$^\\circ$. Assume that the errors in both range and angle are distributed in a Gaussian manner. Given an infinite number of measurements what is the expected value of the position?\n",
    "\n",
    "I have been recommending using intuition to gain insight, so let's see how it fares for this problem. We might reason that since the mean of the range will be 50 km, and the mean of the angle will be 90$^\\circ$, that the answer will be x=0 km, y=50 km.\n",
    "\n",
    "Let's plot that and find out. Here are 3000 points plotted with a normal distribution of the distance of 0.4 km, and the angle having a normal distribution of 0.35 radians. We compute the average of the all of the positions, and display it as a star. Our intuition is displayed with a large circle."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from numpy.random import randn\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "N = 5000\n",
    "a = np.pi/2. + (randn(N) * 0.35)\n",
    "r = 50.0     + (randn(N) * 0.4)\n",
    "xs = r * np.cos(a)\n",
    "ys = r * np.sin(a)\n",
    "\n",
    "plt.scatter(xs, ys, label='Sensor', color='k', \n",
    "            alpha=0.4, marker='.', s=1)\n",
    "xmean, ymean = sum(xs) / N, sum(ys) / N\n",
    "plt.scatter(0, 50, c='k', marker='o', s=200, label='Intuition')\n",
    "plt.scatter(xmean, ymean, c='r', marker='*', s=200, label='Mean')\n",
    "plt.axis('equal')\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that out intuition failed us because the nonlinearity of the problem forced all of the errors to be biased in one direction. This bias, over many iterations, can cause the Kalman filter to diverge. Even if it doesn't diverge the solution will not be optimal. Linear approximations applied to nonlinear problems yields inaccurate results."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Effect of Nonlinear Functions on Gaussians\n",
    "\n",
    "Gaussians are not closed under an arbitrary nonlinear function. Recall the equations of the Kalman filter - at each evolution we pass the Gaussian representing the state through the process function to get the Gaussian at time $k$. Our process function was always linear, so the output was always another Gaussian.  Let's look at that on a graph. I will take an arbitrary Gaussian and pass it through the function $f(x) = 2x + 1$ and plot the result. We know how to do this analytically, but let's use sampling. I will generate 500,000 points with a normal distribution, pass them through $f(x)$, and plot the results. I do it this way because the next example will be nonlinear, and we will have no way to compute this analytically."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from numpy.random import normal\n",
    "\n",
    "data = normal(loc=0., scale=1., size=500000)\n",
    "plt.hist(2*data + 1, 1000);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is an unsurprising result. The result of passing the Gaussian through $f(x)=2x+1$ is another Gaussian centered around 1. Let's look at the input, nonlinear function, and output at once."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from kf_book.book_plots import set_figsize, figsize\n",
    "from kf_book.nonlinear_plots import plot_nonlinear_func\n",
    "\n",
    "def g1(x):\n",
    "    return 2*x+1\n",
    "\n",
    "plot_nonlinear_func(data, g1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> I explain how to plot Gaussians, and much more, in the Notebook *Computing_and_Plotting_PDFs* in the \n",
    "Supporting_Notebooks folder. You can also read it online [here](https://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/blob/master/Supporting_Notebooks/Computing_and_plotting_PDFs.ipynb)[1]\n",
    "\n",
    "The plot labeled 'Input' is the histogram of the original data. This is passed through the  function $f(x)=2x+1$ which is displayed in the chart on the bottom left. The red lines shows how one value, $x=0$ is passed through the function. Each value from input is passed through in the same way to the output function on the right. For the output I computed the mean by taking the average of all the points, and drew the results with the dotted blue line. A solid blue line shows the actual mean for the point $x=0$. The output looks like a Gaussian, and is in fact a Gaussian. We can see that the variance in the output is larger than the variance in the input, and the mean has been shifted from 0 to 1, which is what we would expect given the transfer function $f(x)=2x+1$ The $2x$ affects the variance, and the $+1$ shifts the mean The computed mean, represented by the dotted blue line, is nearly equal to the actual mean. If we used more points in our computation we could get arbitrarily close to the actual value.\n",
    "\n",
    "Now let's look at a nonlinear function and see how it affects the probability distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def g2(x):\n",
    "    return (np.cos(3*(x/2 + 0.7))) * np.sin(0.3*x) - 1.6*x\n",
    "\n",
    "plot_nonlinear_func(data, g2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This result may be somewhat surprising to you. The function looks \"fairly\" linear, but the probability distribution of the output is completely different from a Gaussian.  Recall the equations for multiplying two univariate Gaussians:\n",
    "\n",
    "$$\\begin{aligned}\n",
    "\\mu &=\\frac{\\sigma_1^2 \\mu_2 + \\sigma_2^2 \\mu_1} {\\sigma_1^2 + \\sigma_2^2} \\\\\n",
    "\\sigma &= \\frac{1}{\\frac{1}{\\sigma_1^2} + \\frac{1}{\\sigma_2^2}}\n",
    "\\end{aligned}$$\n",
    "\n",
    "These equations do not hold for non-Gaussians, and certainly do not hold for the probability distribution shown in the 'Output' chart above. \n",
    "\n",
    "Here's another way to look at the same data as scatter plots."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 30000\n",
    "plt.subplot(121)\n",
    "plt.scatter(data[:N], range(N), alpha=.1, s=1.5)\n",
    "plt.title('Input')\n",
    "plt.subplot(122)\n",
    "plt.title('Output')\n",
    "plt.scatter(g2(data[:N]), range(N), alpha=.1, s=1.5);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The original data is clearly Gaussian, but the data passed through `g2(x)` is no longer normally distributed. There is a thick band near -3, and the points are unequally distributed on either side of the band. If you compare this to the pdf labelled 'output' in the previous chart you should be able to see how the pdf shape matches the distribution of `g(data)`.\n",
    "\n",
    "Think of what this implies for the Kalman filter algorithm of the previous chapter. All of the equations assume that a Gaussian passed through the process function results in another Gaussian. If this is not true then all of the assumptions and guarantees of the Kalman filter do not hold. Let's look at what happens when we pass the output back through the function again, simulating the next step time step of the Kalman filter."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "y = g2(data)\n",
    "plot_nonlinear_func(y, g2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As you can see the probability function is further distorted from the original Gaussian. However, the graph is still somewhat symmetric around x=0, let's see what the mean is."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "input  mean, variance: 0.0022, 1.0000\n",
      "output mean, variance: -0.1282, 2.4029\n"
     ]
    }
   ],
   "source": [
    "print('input  mean, variance: %.4f, %.4f' % \n",
    "      (np.mean(data), np.var(data)))\n",
    "print('output mean, variance: %.4f, %.4f' % \n",
    "      (np.mean(y), np.var(y)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's compare that to the linear function that passes through (-2,3) and (2,-3), which is very close to the nonlinear function we have plotted. Using the equation of a line we have\n",
    "\n",
    "$$m=\\frac{-3-3}{2-(-2)}=-1.5$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "output mean, variance: -0.0033, 2.2500\n"
     ]
    }
   ],
   "source": [
    "def g3(x): \n",
    "    return -1.5 * x\n",
    "\n",
    "plot_nonlinear_func(data, g3)\n",
    "out = g3(data)\n",
    "print('output mean, variance: %.4f, %.4f' % \n",
    "      (np.mean(out), np.var(out)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Although the shapes of the output are very different, the mean and variance of each are almost the same. This may lead us to reasoning that perhaps we can ignore this problem if the nonlinear equation is 'close to' linear. To test that, we can iterate several times and then compare the results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear    output mean, variance: -0.1915, 7481.9567\n",
      "nonlinear output mean, variance: -9.5578, 30512.3474\n"
     ]
    }
   ],
   "source": [
    "out = g3(data)\n",
    "out2 = g2(data)\n",
    "\n",
    "for i in range(10):\n",
    "    out = g3(out)\n",
    "    out2 = g2(out2)\n",
    "print('linear    output mean, variance: %.4f, %.4f' % \n",
    "      (np.average(out), np.std(out)**2))\n",
    "print('nonlinear output mean, variance: %.4f, %.4f' % \n",
    "      (np.average(out2), np.std(out2)**2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Unfortunately the nonlinear version is not stable. It drifted significantly from the mean of 0, and the variance is half an order of magnitude larger.\n",
    "\n",
    "I minimized the issue by using a function that is quite close to a straight line. What happens if the function is $y(x)=-x^2$?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def g3(x): \n",
    "    return -x*x\n",
    "\n",
    "data = normal(loc=1, scale=1, size=500000)\n",
    "plot_nonlinear_func(data, g3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Despite the curve being smooth and reasonably straight at $x=1$ the probability distribution of the output doesn't look anything like a Gaussian and the computed mean of the output is quite different than the value computed directly. This is not an unusual function - a ballistic object moves in a parabola, and this is the sort of nonlinearity your filter will need to handle. If you recall we've tried to track a ball and failed miserably. This graph should give you insight into why the filter performed so poorly."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## A 2D Example"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is hard to look at probability distributions and reason about what will happen in a filter. So let's think about tracking an aircraft with radar. The estimate may have a covariance that looks like this:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import kf_book.nonlinear_internal as nonlinear_internal\n",
    "\n",
    "nonlinear_internal.plot1()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "What happens when we try to linearize this problem? The radar gives us a range to the aircraft. Suppose the radar is directly under the aircraft (x=10) and the next measurement states that the aircraft is 3 miles away (y=3). The positions that could match that measurement form a circle with radius 3 miles, like so."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nonlinear_internal.plot2()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see by inspection that the probable position of the aircraft is somewhere near x=11.4, y=2.7 because that is where the covariance ellipse and range measurement overlap. But the range measurement is nonlinear so we have to linearize it. We haven't covered this material yet, but the Extended Kalman filter will linearize at the last position of the aircraft - (10,2). At x=10 the range measurement has y=3, and so we linearize at that point."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nonlinear_internal.plot3()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we have a linear representation of the problem (literally a straight line) which we can solve. Unfortunately you can see that the intersection of the line and the covariance ellipse is a long way from the actual aircraft position."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nonlinear_internal.plot4()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That sort of error often leads to disastrous results. The error in this estimate is large. But in the next innovation of the filter that very bad estimate will be used to linearize the next radar measurement, so the next estimate is likely to be markedly worse than this one. After only a few iterations the Kalman filter will diverge, and start producing results that have no correspondence to reality.\n",
    "\n",
    "This covariance ellipse spans miles. I exaggerated the size to illustrate the difficulties of highly nonlinear systems. In real radar tracking problems the nonlinearity is usually not that bad, but the errors will still accumulate. Other systems you might work with could have this amount of nonlinearity - this was not an exaggeration only to make a point. You will always be battling divergence when working with nonlinear systems."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Algorithms"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You may be impatient to solve a specific problem, and wondering which filter to use. I will quickly survey the options. The subsequent chapters are somewhat independent of each other, and you can fruitfully skip around, though I recommend reading linearly if you truly want to master all of the material. \n",
    "\n",
    "The workhorses of nonlinear filters are the *linearized Kalman filter* and *extended Kalman filter* (EKF). These two techniques were invented shortly after Kalman published his paper and they have been the main techniques used since then. The flight software in airplanes, the GPS in your car or phone almost certainly use one of these techniques. \n",
    "\n",
    "However, these techniques are extremely demanding. The EKF linearizes the differential equations at one point, which requires you to find a solution to a matrix of partial derivatives (a Jacobian). This can be difficult or impossible to do analytically. If impossible, you have to use numerical techniques to find the Jacobian, but this is expensive computationally and introduces more error into the system. Finally, if the problem is quite nonlinear the linearization leads to a lot of error being introduced in each step, and the filters frequently diverge. You cannot throw some equations into some arbitrary solver and expect to get good results. It's a difficult field for professionals. I note that most Kalman filtering textbooks merely gloss over the EKF despite it being the most frequently used technique in real world applications. \n",
    "\n",
    "Recently the field has been changing in exciting ways. First, computing power has grown to the point that we can use techniques that were once beyond the ability of a supercomputer. These use *Monte Carlo* techniques - the computer generates thousands to tens of thousands of random points and tests all of them against the measurements. It then probabilistically kills or duplicates points based on how well they match the measurements. A point far away from the measurement is unlikely to be retained, whereas a point very close is quite likely to be retained. After a few iterations there is a clump of particles closely tracking your object, and a sparse cloud of points where there is no object.\n",
    "\n",
    "This has two benefits. First, the algorithm is robust even for extremely nonlinear problems. Second, the algorithm can track arbitrarily many objects at once - some particles will match the behavior of one object, and other particles will match other objects. So this technique is often used to track automobile traffic, people in crowds, and so on. \n",
    "\n",
    "The costs should be clear. It is computationally expensive to test tens of thousands of points for every step in the filter. But modern CPUs are very fast, and this is a good problem for GPUs because the part of the algorithm is parallelizable. Another cost is that the answer is not mathematical. With a Kalman filter my covariance matrix gives me important information about the amount of error in the estimate. The particle filter does not give me a rigorous way to compute this. Finally, the output of the filter is a cloud of points; I then have to figure out how to interpret it. Usually you will be doing something like taking the mean and standard deviations of the points, but this is a difficult problem. There are still many points that do not 'belong' to a tracked object, so you first have to run some sort of clustering algorithm to first find the points that seem to be tracking an object, and then you need another algorithm to produce a state estimate from those points. None of this is intractable, but it is all quite computationally expensive. \n",
    "\n",
    "\n",
    "Finally, we have a new algorithm called the *unscented Kalman filter* (UKF). It does not require you to find analytic solutions to nonlinear equations, and yet almost always performs better than the EKF. It does well with nonlinear problems - problems where the EKF has significant difficulties. Designing the filter is extremely easy. Some will say the jury is still out on the UKF, but to my mind the UKF is superior in almost every way to the EKF. I suggest that the UKF should be the starting point for any implementation, especially if you are not a Kalman filter professional with a graduate degree in control theory. The main downside is that the UKF can be a few times slower than the EKF, but this really depends on whether the EKF solves the Jacobian analytically or numerically. If numerically the UKF is almost certainly faster. It has not been proven (and probably it cannot be proven) that the UKF always yields more accurate results than the EKF. In practice it almost always does, often significantly so. It is very easy to understand and implement, and I strongly suggest this filter as your starting point. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Summary"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The world is nonlinear, but we only really know how to solve linear problems. This introduces significant difficulties for Kalman filters. We've looked at how nonlinearity affects filtering in 3 different but equivalent ways, and I've given you a brief summary of the major appoaches: the linearized Kalman filter, the extended Kalman filter, the Unscented Kalman filter, and the particle filter. \n",
    "\n",
    "Until recently the linearized Kalman filter and EKF have been the standard way to solve these problems. They are very difficult to understand and use, and they are also potentially very unstable. \n",
    "\n",
    "Recent developments have offered what are to my mind superior approaches. The UKF dispenses with the need to find solutions to partial differential equations, yet it is also usually more accurate than the EKF. It is easy to use and understand. I can get a basic UKF going in a few minutes by using FilterPy. The particle filter dispenses with mathematical modeling completely in favor of a Monte Carlo technique of generating a random cloud of thousands of points. It runs slowly, but it can solve otherwise intractable problems with relative ease.\n",
    "\n",
    "I get more email about the EKF than anything else; I suspect that this is because most treatments in books, papers, and on the internet use the EKF. If your interest is in mastering the field of course you will want to learn about the EKF. But if you are just trying to get good results I point you to the UKF and particle filter first. They are much easier to implement, understand, and use, and they are typically far more stable than the EKF. \n",
    "\n",
    "Some will quibble with that advice. A lot of recent publications are devoted to a comparison of the EKF, UKF, and perhaps a few other choices for a given problem. Do you not need to perform a similar comparison for your problem? If you are sending a rocket to Mars then of course you do. You will be balancing issues such as accuracy, round off errors, divergence, mathematical proof of correctness, and the computational effort required. I can't imagine not knowing the EKF intimately. \n",
    "\n",
    "On the other hand the UKF works spectacularly! I use it at work for real world applications. I mostly haven't even tried to implement an EKF for these applications because I can verify that the UKF is working fine. Is it possible that I might eke out another 0.2% of performance from the EKF in certain situations? Sure! Do I care? No! I completely understand the UKF implementation, it is easy to test and verify, I can pass the code to others and be confident that they can understand and modify it, and I am not a masochist that wants to battle difficult equations when I already have a working solution. If the UKF or particle filters start to perform poorly for some problem then I will turn to other techniques, but not before then. And realistically, the UKF usually provides substantially better performance than the EKF over a wide range of problems and conditions. If \"really good\" is good enough I'm going to spend my time working on other problems. \n",
    "\n",
    "I'm belaboring this point because in most textbooks the EKF is given center stage, and the UKF is either not mentioned at all or just given a 2 page gloss that leaves you completely unprepared to use the filter. The UKF is still relatively new, and it takes time to write new editions of books. At the time many books were written the UKF was either not discovered yet, or it was just an unproven but promising curiosity. But as I am writing this now, the UKF has had enormous success, and it needs to be in your toolkit. That is what I will spend most of my effort trying to teach you. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## References\n",
    "\n",
    "<A name=\"[1]\">[1]</A> https://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/blob/master/Supporting_Notebooks/Computing_and_plotting_PDFs.ipynb"
   ]
  }
 ],
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   "language": "python",
   "name": "python3"
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